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Finding the Fourth Proportional to 1,297.51, 1,946.30 and 431.89

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Solution

The fourth proportional to 1,297.51, 1,946.30 and 431.89 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.51 : 1,946.30 = 431.89 : x
  2. Step 2: Convert to fraction form
    1,297.51/1,946.30 = 431.89/x
  3. Step 3: Cross multiply
    1,297.51x = 1,946.30 × 431.89
  4. Step 4: Simplify right side
    1,297.51x = 840,587.51
  5. Step 5: Solve for x
    x = 840,587.51/1,297.51
  6. Step 6: Final answer
    x = 647.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.